"Chū-jiân-sò͘" pán-pún chi-kan bô-kāng--ê tē-hng

刪去的內容 新增的內容
~ robot Adding: az:Natural ədədlər
Replaced content with ' ---- ---- ''''''Chho·-thé bûn-jī''''''Chho·-thé bûn-jī''''''orospu baba orospu baba == == Thâu-tiâu bûn-jī == [[Liân-kiat piau-tê[[File:[[Media:Iann-sio…'
Tē 1 chōa:
'''Chū-jiân-sò͘''' sī siōng ki-pún ê [[sò͘-ba̍k]], ū lâng kóng sī chiàⁿ-ê [[chéng-sò͘]] hō-chò chū-jiân-sò͘, mā ū lâng kā [[lêng]] mā sǹg-chāi-lāi. It-poaⁿ lâi kóng gián-kiù [[sò͘-lūn]] ê lâng bô kā 0 sǹg-chāi-lāi, gián-kiù [[chi̍p-ha̍p-lūn]] iah-sī [[tiān-náu kho-ha̍k]] ê lâng ōe kā 0 sǹg-chāi-lāi.
 
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Chū-jiân-sò͘ ê lō͘-iōng chú-iàu sī the̍h-lâi sǹg mi̍h-kiāⁿ ê sò͘-liōng, he̍k-chiá-sī the̍h-lâi pâi sūn-sū. It-poaⁿ ēng '''N''' iah-sī <math>\mathbb{N}</math> chò chū-jiân-sò͘ ê phiau-kì.
 
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== Chèng-sek ê tēng-gī ==
''''''Chho·-thé bûn-jī''''''Chho·-thé bûn-jī''''''orospu baba
Chū-jiân-sò͘ ōe-tàng ēng [[Peano kong-siat]] lâi tēng-gī. Chū-jiân-sò͘ sī 1-ê bô chīn-pōng ê chi̍p-ha̍p
orospu baba
* Ū 1-ê sêng-oân hō-chò 0
==
* Jīm-hô 1-ê sêng-oân ''a'' lóng ōe-tàng tī chū-jiân-sò͘ lāi-tóe chhōe-tio̍h i-ê siong-sio̍k-chiá, kì-chò ''S''(''a'').
== Thâu-tiâu bûn-jī ==
* Chhōe-bô 1-ê sêng-oân ê siong-sio̍k-chiá sī 0.
[[[[Liân-kiat piau-tê]][[File:[[Media:Iann-siong-e-le.jpg]][[File:[[File:Iann-siong-e-le.jpg]]]]]]]] ==
* Bô-kâng ê sêng-oân, in-ê siong-sio̍k-chiá tō bô-kâng: nā ''a'' ≠ ''b'' tiāⁿ-tio̍h ''S''(''a'') ≠ ''S''(''b'').
* Jīm-hô 1-ê sêng-oân ''a'' ū-·ê sèng-chit, nā-sī-kóng tiāⁿ-tio̍h i-ê siong-sio̍k-chia ''S''(''a'') mā ài ū chit-ê sèng-chit, jî-chhiáⁿ 0 koh ū chit-ê sèng-chit, nā án-ne só͘-ū ê chū-jiân-sò͘ tō lóng ū chit-ê sèng-chit. Chit-tiâu kong-siat sī kóng [[sò͘-ha̍k kui-la̍p-hoat]] ōe-tàng ēng tī chū-jiân-sò͘.
 
== Sèng-chit ==
=== Ka-hoat ===
Chū-jiân-sò͘ ê ka-hoat ēng (recursion) lâi tēng-gī:
# ''a'' + 0 = ''a''
#''a'' + ''S''(''b'') = ''S''(''a'') + ''b''
Koh lâi tō khì chhōe siáng-ê siong-sio̍k-chiá sī ''b'', ēng tē-2-tiâu it-tı̍t sǹg-·lo̍h-khì, kàu-bóe-·á tē-1-tiâu tō ōe-tàng ēng.
 
Kú 1-ê te̍k-piat ê lē. Nā-sī kā S(0) tēng-gī chò 1, án-ne ''S''(''a'') = ''S''(''a'') + 0 = ''a'' + ''S''(0) = ''a'' + 1.
 
Chiàu chit-ê tēng-gī, ('''N''', +) chiâⁿ-sêng 1-ê ū [[tan-ūi-goân]] 0 ê [[poàⁿ-kûn]].
 
=== Sêng-hoat ===
Chū-jiân-sò͘ ê sêng-hoat mā-sī ēng (recursion) lâi tēng-gī:
# ''a'' × 0 = 0
# ''a'' × ''S''(''b'') = (''a'' × ''b'') + ''a''
 
Kú 1-ê te̍k-piat ê lē. ''a'' × 1 = ''a'' ×''S''(0) = ''a''. Só͘-í 1 sī chū-jiân-sò͘ ê seng-hoat tan-ūi-goân. ('''N''', ×) mā chiâⁿ-sêng 1-ê ū tan-ūi-goân ê poàⁿ-kûn.
 
=== Sūn-sū ===
{{iau-boe-sia}}
 
=== Tû-hoat ===
{{iau-boe-sia}}
 
[[Category:Sò͘-ha̍k]]
{{phí}}
 
[[af:Natuurlike getal]]
[[an:Numero natural]]
[[ar:عدد طبيعي]]
[[az:Natural ədədlər]]
[[bat-smg:Natūralos skaitlios]]
[[be:Натуральны лік]]
[[be-x-old:Натуральны лік]]
[[bg:Естествено число]]
[[bs:Prirodan broj]]
[[ca:Nombre natural]]
[[cs:Přirozené číslo]]
[[cv:Пурлăх хисепĕ]]
[[cy:Rhif naturiol]]
[[da:Naturligt tal]]
[[de:Natürliche Zahl]]
[[el:Φυσικός αριθμός]]
[[eml:Nómmer naturèl]]
[[en:Natural number]]
[[eo:Natura nombro]]
[[es:Número natural]]
[[et:Naturaalarv]]
[[eu:Zenbaki arrunt]]
[[fa:اعداد طبیعی]]
[[fi:Luonnollinen luku]]
[[fiu-vro:Tüküarv]]
[[fo:Teljital]]
[[fr:Entier naturel]]
[[gan:自然數]]
[[gl:Número natural]]
[[he:מספר טבעי]]
[[hr:Prirodni broj]]
[[hu:Természetes számok]]
[[ia:Numero natural]]
[[id:Bilangan asli]]
[[is:Náttúrlegar tölur]]
[[it:Numero naturale]]
[[ja:自然数]]
[[jbo:rarna'u]]
[[ka:ნატურალური რიცხვი]]
[[kk:Дағдылы сан]]
[[kn:ಸ್ವಾಭಾವಿಕ ಸಂಖ್ಯೆ]]
[[ko:자연수]]
[[ku:Hejmarên xwezayî]]
[[la:Numerus naturalis]]
[[lmo:Nümar natüraal]]
[[lo:ຈຳນວນທຳມະຊາດ]]
[[lt:Natūralusis skaičius]]
[[lv:Naturāls skaitlis]]
[[mk:Природен број]]
[[ml:എണ്ണല്‍ സംഖ്യ]]
[[mn:Натурал тоо]]
[[ms:Nombor asli]]
[[nds:Natürliche Tall]]
[[nl:Natuurlijk getal]]
[[nn:Naturleg tal]]
[[no:Naturlig tall]]
[[pl:Liczby naturalne]]
[[pt:Número natural]]
[[ro:Număr natural]]
[[ru:Натуральное число]]
[[sc:Nùmeru naturale]]
[[scn:Nùmmuru naturali]]
[[sh:Prirodan broj]]
[[simple:Natural number]]
[[sk:Množina prirodzených čísel]]
[[sl:Naravno število]]
[[sq:Numrat natyral]]
[[sr:Природан број]]
[[sv:Naturliga tal]]
[[ta:இயல் எண்]]
[[te:సహజ సంఖ్య]]
[[tg:Адади натуралӣ]]
[[th:จำนวนธรรมชาติ]]
[[tr:Doğal sayılar]]
[[uk:Натуральне число]]
[[ur:قدرتی عدد]]
[[uz:Natural son]]
[[vi:Số tự nhiên]]
[[vls:Natuurlik getal]]
[[yi:נאטירלעכע צאל]]
[[yo:Nọ́mbà àdábáyé]]
[[zh:自然数]]
[[zh-classical:自然數]]
[[zh-yue:自然數]]